Question

The set of values of p for which both roots of the equation

3x² + 2x + p (p – 1) = 0 are positive is

• A. p∈$\left( \frac{1}{3},\frac{2}{3} \right)$
• B. p ∈ φ
• C. p ∈ (0, 1)
• D. None

Answer 1

Answer: (B)

p ∈ φ

Answer 2

(i) (ii)

use vertex > 0 but here $- \frac{2}{3}$> 0 is false

∴ p∈φ